Ishikawa iteration - Open Access .click

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Convergence theorems of the sequence of Ishikawa iterates

2005
Summary: We study some open questions posed by \textit{S.\,A.\thinspace Naimpally} and \textit{K.\,L.\thinspace Singh} [J.~Math.\ Anal.\ Appl.\ 96, 437--446 (1982; Zbl 0524.47033)] and prove convergence theorems for the sequence of Ishikawa iterates for quasicontractive and Lipschitzian hemi-contractive mappings.
Dubey, R. P., Singh, N. K.
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Polynomiography for square systems of equations with Mann and Ishikawa iterations

2016
In this paper we propose to replace the standard Picard iteration in the Newton--Raphson method by Mann and Ishikawa iterations. This iteration's replacement influence the solution finding process that can be visualized as polynomiographs for the square systems of equations.
Gdawiec, Krzysztof +2 more
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Fixed Point Theorems of Modified Mann and Ishikawa Iterations

Journal of Interdisciplinary Mathematics, 2021
Sabah Hassan Malih
exaly

The Ishikawa Iteration

2007
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The Equivalence Between the Convergences of Ishikawa and Mann Iterations for an Asymptotically Pseudocontractive Map

Journal of Mathematical Analysis and Applications, 2003
Stefan M Soltuz, B E Rhoades
exaly

Mann and Ishikawa Iterations With Errors for Asymptotically Nonexpansive Mappings

Computers and Mathematics With Applications, 1999
Zhenyu Huang
exaly

The Equivalence Between the Convergences of Ishikawa and Mann Iterations for an Asymptotically Nonexpansive in the Intermediate Sense and Strongly Successively Pseudocontractive Maps

Journal of Mathematical Analysis and Applications, 2004
Stefan M Soltuz, B E Rhoades
exaly

Some Notes on Ishikawa Iteration for Multi-Valued Mappings

Bulletin of the Korean Mathematical Society, 2011
Yisheng Song
exaly